Question

population data
0 3 3 1 3
2 2 2 5 4
3 3 3 2 1
2 4 2 3 3
1 3 5 2 4

sample data
0 2 3 3 4

what is the difference between the mean of the population and the mean of the sample?
0.24
0.36
2.40
2.64

Explanation:

Step1: Calculate population sum

Add all population values:
$0+3+3+1+3+2+2+2+5+4+3+3+3+2+1+2+4+2+3+3+1+3+5+2+4 = 66$

Step2: Find population mean

Divide sum by population size ($n=25$):
$\mu = \frac{66}{25} = 2.64$

Step3: Calculate sample sum

Add all sample values:
$0+2+3+3+4 = 12$

Step4: Find sample mean

Divide sum by sample size ($n=5$):
$\bar{x} = \frac{12}{5} = 2.40$

Step5: Compute mean difference

Subtract sample mean from population mean:
$2.64 - 2.40 = 0.24$

Answer:

0.24